Question 1051561
Suppose the width of the rectangle garden is x.
        then the length of the rectangle garden would be (x + 43)

Length = x + 43 feet
Width = x feet
Perimeter = 314 feet.

Perimeter = 2*Length + 2*Width

314 = 2*(x + 43) + 2*x
314 = 2x +86 + 2x

or,

4x + 86 = 314
4x = 314 - 86
4x = 228
x = 228/4
x = 57

Width = 57 feet

Length        = width + 43
              = 57 + 43
              = 100 feet
The solution of the system is 100 feet, 57 feet.